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Proving in the elementary mathematics classroom /
Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. It uses classroo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
2016.
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| Edición: | First edition. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover ; Contents; 1 Introduction; A Classroom Episode of Elementary Students Engaging With Proving; Description of the Episode; Brief Discussion of the Episode; The Book's Broad Aim and Intended Audience; The Book's Structure; 2 The Importance and Meaning of Proving, and the Role of Mathematics Tasks; The Importance of Proving; A Philosophical Argument; A Pedagogical Argument; The Meaning of Proving; An Overview of the Situation in the Field; The Definition of Proving Used in this Book; The Definition of Proof Used in this Book; The Place of Proving in Mathematics Classrooms.
- The Current Place of ProvingThe Role of Mathematics Tasks in Elevating the Place of Proving; 3 The Set-up of the Investigation; A Categorization of Proving Tasks; Characteristics of Proving Tasks That Can Influence Their Generated Proving Activity; Data Sources and Analytic Method; Data Sources; Analytic Method; 4 Proving Tasks with Ambiguous Conditions; Episode A; Description of the Episode; Discussion of the Episode; Episode B; Description of the Episode; Discussion of the Episode; General Discussion; The Relationship between Proving Tasks and Proving Activity; The Role of the Teacher.
- 5 Proving Tasks Involving a Single CaseEpisode C; Description of the Episode; Discussion of the Episode; Episode D; Description of the Episode; Discussion of the Episode; General Discussion; The Nexus between Calculation Work and Proving; The Relationship between Proving Tasks and Proving Activity; The Role of the Teacher; 6 Proving Tasks Involving Multiple but Finitely Many Cases; Episode E; Description of the Episode; Discussion of the Episode; Episode F; Description of the Episode; Discussion of the Episode; General Discussion; The Relationship between Proving Tasks and Proving Activity.
- The Role of the Teacher7 Proving Tasks Involving Infinitely Many Cases; Episode G; Description of the Episode; Discussion of the Episode; Episode H; Description of the Episode; Discussion of the Episode; General Discussion; The Relationship between Proving Tasks and Proving Activity; The Role of the Teacher; 8 Conclusion; The Relationship between Proving Tasks and Proving Activity; The Role of the Teacher; Selecting or Designing Proving Tasks; Implementing Proving Tasks; The Place of Proving in Elementary Students' Mathematical Work; Teacher Education; Curricular Resources; Epilogue.